51
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Loos PF, Blase X. Dynamical correction to the Bethe-Salpeter equation beyond the plasmon-pole approximation. J Chem Phys 2020; 153:114120. [PMID: 32962392 DOI: 10.1063/5.0023168] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The Bethe-Salpeter equation (BSE) formalism is a computationally affordable method for the calculation of accurate optical excitation energies in molecular systems. Similar to the ubiquitous adiabatic approximation of time-dependent density-functional theory, the static approximation, which substitutes a dynamical (i.e., frequency-dependent) kernel by its static limit, is usually enforced in most implementations of the BSE formalism. Here, going beyond the static approximation, we compute the dynamical correction of the electron-hole screening for molecular excitation energies, thanks to a renormalized first-order perturbative correction to the static BSE excitation energies. The present dynamical correction goes beyond the plasmon-pole approximation as the dynamical screening of the Coulomb interaction is computed exactly within the random-phase approximation. Our calculations are benchmarked against high-level (coupled-cluster) calculations, allowing one to assess the clear improvement brought by the dynamical correction for both singlet and triplet optical transitions.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Xavier Blase
- Université Grenoble Alpes, CNRS, Institut NEEL, F-38042 Grenoble, France
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52
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Blase X, Duchemin I, Jacquemin D, Loos PF. The Bethe-Salpeter Equation Formalism: From Physics to Chemistry. J Phys Chem Lett 2020; 11:7371-7382. [PMID: 32787315 DOI: 10.1021/acs.jpclett.0c01875] [Citation(s) in RCA: 71] [Impact Index Per Article: 17.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The Bethe-Salpeter equation (BSE) formalism is steadily asserting itself as a new efficient and accurate tool in the ensemble of computational methods available to chemists in order to predict optical excitations in molecular systems. In particular, the combination of the so-called GW approximation, giving access to reliable ionization energies and electron affinities, and the BSE formalism, able to model UV/vis spectra, has shown to provide accurate singlet excitation energies with a typical error of 0.1-0.3 eV. With a similar computational cost as time-dependent density-functional theory (TD-DFT), BSE is able to provide an accuracy on par with the most accurate global and range-separated hybrid functionals without the unsettling choice of the exchange-correlation functional, resolving further known issues (e.g., charge-transfer excitations). In this Perspective, we provide a historical overview of BSE, with a particular focus on its condensed-matter roots. We also propose a critical review of its strengths and weaknesses in different chemical situations.
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Affiliation(s)
- Xavier Blase
- Université Grenoble Alpes, CNRS, Institut NEEL, F-38042 Grenoble, France
| | - Ivan Duchemin
- Université Grenoble Alpes, CEA, IRIG-MEM-L Sim, 38054 Grenoble, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France
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53
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Kehry M, Franzke YJ, Holzer C, Klopper W. Quasirelativistic two-component core excitations and polarisabilities from a damped-response formulation of the Bethe–Salpeter equation. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1755064] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Affiliation(s)
- Max Kehry
- Theoretical Chemistry Group, Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
| | - Yannick J. Franzke
- Theoretical Chemistry Group, Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
| | - Christof Holzer
- Theoretical Chemistry Group, Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
| | - Wim Klopper
- Theoretical Chemistry Group, Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
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54
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Balasubramani SG, Chen GP, Coriani S, Diedenhofen M, Frank MS, Franzke YJ, Furche F, Grotjahn R, Harding ME, Hättig C, Hellweg A, Helmich-Paris B, Holzer C, Huniar U, Kaupp M, Marefat Khah A, Karbalaei Khani S, Müller T, Mack F, Nguyen BD, Parker SM, Perlt E, Rappoport D, Reiter K, Roy S, Rückert M, Schmitz G, Sierka M, Tapavicza E, Tew DP, van Wüllen C, Voora VK, Weigend F, Wodyński A, Yu JM. TURBOMOLE: Modular program suite for ab initio quantum-chemical and condensed-matter simulations. J Chem Phys 2020; 152:184107. [PMID: 32414256 PMCID: PMC7228783 DOI: 10.1063/5.0004635] [Citation(s) in RCA: 563] [Impact Index Per Article: 140.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/12/2020] [Accepted: 04/07/2020] [Indexed: 01/30/2023] Open
Abstract
TURBOMOLE is a collaborative, multi-national software development project aiming to provide highly efficient and stable computational tools for quantum chemical simulations of molecules, clusters, periodic systems, and solutions. The TURBOMOLE software suite is optimized for widely available, inexpensive, and resource-efficient hardware such as multi-core workstations and small computer clusters. TURBOMOLE specializes in electronic structure methods with outstanding accuracy-cost ratio, such as density functional theory including local hybrids and the random phase approximation (RPA), GW-Bethe-Salpeter methods, second-order Møller-Plesset theory, and explicitly correlated coupled-cluster methods. TURBOMOLE is based on Gaussian basis sets and has been pivotal for the development of many fast and low-scaling algorithms in the past three decades, such as integral-direct methods, fast multipole methods, the resolution-of-the-identity approximation, imaginary frequency integration, Laplace transform, and pair natural orbital methods. This review focuses on recent additions to TURBOMOLE's functionality, including excited-state methods, RPA and Green's function methods, relativistic approaches, high-order molecular properties, solvation effects, and periodic systems. A variety of illustrative applications along with accuracy and timing data are discussed. Moreover, available interfaces to users as well as other software are summarized. TURBOMOLE's current licensing, distribution, and support model are discussed, and an overview of TURBOMOLE's development workflow is provided. Challenges such as communication and outreach, software infrastructure, and funding are highlighted.
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Affiliation(s)
- Sree Ganesh Balasubramani
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, USA
| | - Guo P Chen
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, USA
| | - Sonia Coriani
- DTU Chemistry, Technical University of Denmark, Kemitorvet Build. 207, DK-2800 Kongens Lyngby, Denmark
| | - Michael Diedenhofen
- Dassault Systèmes Deutschland GmbH, Imbacher Weg 46, 51379 Leverkusen, Germany
| | - Marius S Frank
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44801 Bochum, Germany
| | - Yannick J Franzke
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box 6980, 76049 Karlsruhe, Germany
| | - Filipp Furche
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, USA
| | - Robin Grotjahn
- Institut für Chemie, Theoretische Chemie/Quantenchemie, Technische Universität Berlin, Sekr. C7, Straße des 17. Juni 135, 10623 Berlin, Germany
| | | | - Christof Hättig
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44801 Bochum, Germany
| | - Arnim Hellweg
- Dassault Systèmes Deutschland GmbH, Imbacher Weg 46, 51379 Leverkusen, Germany
| | - Benjamin Helmich-Paris
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany
| | - Christof Holzer
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box 6980, 76049 Karlsruhe, Germany
| | - Uwe Huniar
- Dassault Systèmes Deutschland GmbH, Imbacher Weg 46, 51379 Leverkusen, Germany
| | - Martin Kaupp
- Institut für Chemie, Theoretische Chemie/Quantenchemie, Technische Universität Berlin, Sekr. C7, Straße des 17. Juni 135, 10623 Berlin, Germany
| | - Alireza Marefat Khah
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44801 Bochum, Germany
| | | | - Thomas Müller
- Forschungszentrum Jülich, Jülich Supercomputer Centre, Wilhelm-Jonen Straße, 52425 Jülich, Germany
| | - Fabian Mack
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box 6980, 76049 Karlsruhe, Germany
| | - Brian D Nguyen
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, USA
| | - Shane M Parker
- Department of Chemistry, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106, USA
| | - Eva Perlt
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, USA
| | - Dmitrij Rappoport
- Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
| | - Kevin Reiter
- Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), KIT Campus North, P.O. Box 3640, 76021 Karlsruhe, Germany
| | - Saswata Roy
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, USA
| | - Matthias Rückert
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44801 Bochum, Germany
| | - Gunnar Schmitz
- Department of Chemistry, Aarhus Universitet, Langelandsgade 140, DK-8000 Aarhus, Denmark
| | - Marek Sierka
- TURBOMOLE GmbH, Litzenhardtstraße 19, 76135 Karlsruhe, Germany
| | - Enrico Tapavicza
- Department of Chemistry and Biochemistry, California State University, Long Beach, 1250 Bellflower Boulevard, Long Beach, California 90840, USA
| | - David P Tew
- Max Planck Institute for Solid State Research, Heisenbergstaße 1, 70569 Stuttgart, Germany
| | - Christoph van Wüllen
- Fachbereich Chemie and Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, Erwin-Schrödinger-Staße 52, 67663 Kaiserslautern, Germany
| | - Vamsee K Voora
- Department of Chemical Sciences, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India
| | - Florian Weigend
- Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), KIT Campus North, P.O. Box 3640, 76021 Karlsruhe, Germany
| | - Artur Wodyński
- Institut für Chemie, Theoretische Chemie/Quantenchemie, Technische Universität Berlin, Sekr. C7, Straße des 17. Juni 135, 10623 Berlin, Germany
| | - Jason M Yu
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, USA
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55
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Loos PF, Scemama A, Duchemin I, Jacquemin D, Blase X. Pros and Cons of the Bethe-Salpeter Formalism for Ground-State Energies. J Phys Chem Lett 2020; 11:3536-3545. [PMID: 32298578 DOI: 10.1021/acs.jpclett.0c00460] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The combination of the many-body Green's function GW approximation and the Bethe-Salpeter equation (BSE) formalism has shown to be a promising alternative to time-dependent density functional theory (TD-DFT) for computing vertical transition energies and oscillator strengths in molecular systems. The BSE formalism can also be employed to compute ground-state correlation energies thanks to the adiabatic-connection fluctuation-dissipation theorem (ACFDT). Here, we study the topology of the ground-state potential energy surfaces (PESs) of several diatomic molecules near their equilibrium bond length. Using comparisons with state-of-art computational approaches (CC3), we show that ACFDT@BSE is surprisingly accurate and can even compete with lower-order coupled cluster methods (CC2 and CCSD) in terms of total energies and equilibrium bond distances for the considered systems. However, we sometimes observe unphysical irregularities on the ground-state PES in relation with difficulties in the identification of a few GW quasiparticle energies.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31077 Toulouse, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31077 Toulouse, France
| | - Ivan Duchemin
- Université Grenoble Alpes, CEA, IRIG-MEM-L Sim, 38054 Grenoble, France
| | - Denis Jacquemin
- Laboratoire CEISAM - UMR CNRS 6230, Université de Nantes, 2 Rue de la Houssinière, BP 92208, 44322 Nantes Cedex 3, France
| | - Xavier Blase
- Université Grenoble Alpes, CNRS, Institut NEEL, F-38042 Grenoble, France
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56
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Loos PF, Scemama A, Jacquemin D. The Quest for Highly Accurate Excitation Energies: A Computational Perspective. J Phys Chem Lett 2020; 11:2374-2383. [PMID: 32125872 DOI: 10.1021/acs.jpclett.0c00014] [Citation(s) in RCA: 87] [Impact Index Per Article: 21.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/11/2023]
Abstract
We provide an overview of the successive steps that made it possible to obtain increasingly accurate excitation energies with computational chemistry tools, eventually leading to chemically accurate vertical transition energies for small- and medium-size molecules. First, we describe the evolution of ab initio methods employed to define benchmark values, with the original Roos CASPT2 method, then the CC3 method as in the renowned Thiel set, and more recently the resurgence of selected configuration interaction methods. The latter method has been able to deliver consistently, for both single and double excitations, highly accurate excitation energies for small molecules, as well as medium-size molecules with compact basis sets. Second, we describe how these high-level methods and the creation of representative benchmark sets of excitation energies have allowed the fair and accurate assessment of the performance of computationally lighter methods. We conclude by discussing possible future theoretical and technological developments in the field.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
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57
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Pausch A, Klopper W. Efficient evaluation of three-centre two-electron integrals over London orbitals. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1736675] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Ansgar Pausch
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
| | - Wim Klopper
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
- Centre for Advanced Study (CAS), The Norwegian Academy of Science and Letters, Oslo, Norway
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58
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Cazzaniga M, Cargnoni F, Penconi M, Bossi A, Ceresoli D. Ab Initio Many-Body Perturbation Theory Calculations of the Electronic and Optical Properties of Cyclometalated Ir(III) Complexes. J Chem Theory Comput 2020; 16:1188-1199. [PMID: 31860292 DOI: 10.1021/acs.jctc.9b00763] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
Cyclometalated Ir(III) compounds are the preferred choice as organic emitters in organic light-emitting diodes. In practice, the presence of the transition metal surrounded by carefully designed ligands allows fine-tuning of the emission frequency as well as good efficiency of the device. To support the development of new compounds, experimental measurements are generally compared with absorption and emission spectra obtained from ab initio calculations. The standard approach for these calculations is time-dependent density functional theory (TDDFT) with a hybrid exchange-correlation functional like B3LYP. Because of the size of these compounds, the application of more complex quantum chemistry approaches can be challenging. In this work, we used many-body perturbation theory approaches, in particular the GW approximation with the Bethe-Salpeter equation (BSE) implemented in Gaussian basis sets, to calculate the quasiparticle properties and the absorption spectra of six cyclometalated Ir(III) complexes, going beyond TDDFT. In the presented results, we compared standard TDDFT simulations with BSE calculations performed on top of perturbative G0W0 and accounting for eigenvalue self-consistency. Moreover, in order to investigate in detail the effect of the DFT starting point, we concentrated on Ir(ppy)3 and performed GW-BSE simulations starting from different DFT exchange-correlation potentials.
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Affiliation(s)
- Marco Cazzaniga
- Consiglio Nazionale delle Ricerche , Istituto di Scienze e Tecnologie Chimiche (CNR-SCITEC) , 20133 Milano , Italy
| | - Fausto Cargnoni
- Consiglio Nazionale delle Ricerche , Istituto di Scienze e Tecnologie Chimiche (CNR-SCITEC) , 20133 Milano , Italy
| | - Marta Penconi
- Consiglio Nazionale delle Ricerche , Istituto di Scienze e Tecnologie Chimiche (CNR-SCITEC) , 20133 Milano , Italy
| | - Alberto Bossi
- Consiglio Nazionale delle Ricerche , Istituto di Scienze e Tecnologie Chimiche (CNR-SCITEC) , 20133 Milano , Italy
| | - Davide Ceresoli
- Consiglio Nazionale delle Ricerche , Istituto di Scienze e Tecnologie Chimiche (CNR-SCITEC) , 20133 Milano , Italy
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59
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Duchemin I, Blase X. Robust Analytic-Continuation Approach to Many-Body GW Calculations. J Chem Theory Comput 2020; 16:1742-1756. [DOI: 10.1021/acs.jctc.9b01235] [Citation(s) in RCA: 24] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ivan Duchemin
- IRIG-MEM-L_Sim, Univ. Grenoble Alpes, CEA, F-38054 Grenoble, France
| | - Xavier Blase
- Inst NEEL, Univ. Grenoble Alpes, CNRS, F-38042 Grenoble, France
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60
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Liu C, Kloppenburg J, Yao Y, Ren X, Appel H, Kanai Y, Blum V. All-electron ab initio Bethe-Salpeter equation approach to neutral excitations in molecules with numeric atom-centered orbitals. J Chem Phys 2020; 152:044105. [DOI: 10.1063/1.5123290] [Citation(s) in RCA: 26] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Chi Liu
- Department of Chemistry, Duke University, Durham, North Carolina 27708, USA
| | - Jan Kloppenburg
- Institute of Condensed Matter and Nanoscience, Université Catholique de Louvain, Louvain-la-Neuve 1348, Belgium
| | - Yi Yao
- Department of Chemistry, University of North Carolina, Chapel Hill, North Carolina 27599, USA
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - Xinguo Ren
- CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Heiko Appel
- Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, 22761 Hamburg, Germany
| | - Yosuke Kanai
- Department of Chemistry, University of North Carolina, Chapel Hill, North Carolina 27599, USA
| | - Volker Blum
- Department of Chemistry, Duke University, Durham, North Carolina 27708, USA
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
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61
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Loos PF, Pradines B, Scemama A, Giner E, Toulouse J. Density-Based Basis-Set Incompleteness Correction for GW Methods. J Chem Theory Comput 2019; 16:1018-1028. [DOI: 10.1021/acs.jctc.9b01067] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Barthélémy Pradines
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
- Institut des Sciences du Calcul et des Données, Sorbonne Université, Paris, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Emmanuel Giner
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
| | - Julien Toulouse
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
- Institut Universitaire de France, Paris, France
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62
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Busch JM, Zink DM, Di Martino-Fumo P, Rehak FR, Boden P, Steiger S, Fuhr O, Nieger M, Klopper W, Gerhards M, Bräse S. Highly soluble fluorine containing Cu(i) AlkylPyrPhos TADF complexes. Dalton Trans 2019; 48:15687-15698. [PMID: 31524902 DOI: 10.1039/c9dt02447f] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Abstract
Luminescent Cu(i) AlkylPyrPhos complexes with a butterfly-shaped Cu2I2 core and halogen containing ancillary ligands, with a special focus on fluorine, have been investigated in this study. These complexes show extremely high solubilities and a remarkable (photo)chemical stability in a series of solvents. A tunable emission resulting from thermally activated delayed fluorescence with high quantum yields was determined by luminescence and lifetime investigations in solvents and solids. Structures of the electronic ground states were analyzed by single crystal X-ray analysis. The structure of the lowest excited triplet state was determined by transient FTIR spectroscopy, in combination with quantum chemical calculations. With the obtained range of compounds we address the key requirement for the production of organic light emitting diodes based on solution processing.
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Affiliation(s)
- Jasmin M Busch
- Institute of Organic Chemistry (IOC), Karlsruhe Institute of Technology (KIT), Karlsruhe, Fritz-Haber-Weg 6, 76131 Karlsruhe, Germany.
| | - Daniel M Zink
- Institute of Organic Chemistry (IOC), Karlsruhe Institute of Technology (KIT), Karlsruhe, Fritz-Haber-Weg 6, 76131 Karlsruhe, Germany.
| | - Patrick Di Martino-Fumo
- Chemistry Department, TU Kaiserslautern and Research Center Optimas, Erwin-Schrödinger-Straße 52, 67663 Kaiserslautern, Germany.
| | - Florian R Rehak
- Institute of Physical Chemistry - Theoretical Chemistry, Karlsruhe Institute of Technology (KIT), Fritz-Haber-Weg 2, 76131 Karlsruhe, Germany.
| | - Pit Boden
- Chemistry Department, TU Kaiserslautern and Research Center Optimas, Erwin-Schrödinger-Straße 52, 67663 Kaiserslautern, Germany.
| | - Sophie Steiger
- Chemistry Department, TU Kaiserslautern and Research Center Optimas, Erwin-Schrödinger-Straße 52, 67663 Kaiserslautern, Germany.
| | - Olaf Fuhr
- Karlsruhe Institute of Nanotechnology (INT) and Karlsruhe Nano-Micro Facility (KNMF), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany.
| | - Martin Nieger
- Department of Chemistry, University of Helsinki, P.O. Box 55 (A.I. Virtasen aukio 1), 00014 Helsinki, Finland.
| | - Wim Klopper
- Institute of Physical Chemistry - Theoretical Chemistry, Karlsruhe Institute of Technology (KIT), Fritz-Haber-Weg 2, 76131 Karlsruhe, Germany.
| | - Markus Gerhards
- Chemistry Department, TU Kaiserslautern and Research Center Optimas, Erwin-Schrödinger-Straße 52, 67663 Kaiserslautern, Germany.
| | - Stefan Bräse
- Institute of Organic Chemistry (IOC), Karlsruhe Institute of Technology (KIT), Karlsruhe, Fritz-Haber-Weg 6, 76131 Karlsruhe, Germany. and Institute of Toxicology and Genetics (ITG), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
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63
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Kruppa SV, Groß C, Gui X, Bäppler F, Kwasigroch B, Sun Y, Diller R, Klopper W, Niedner-Schatteburg G, Riehn C, Thiel WR. Photoinitiated Charge Transfer in a Triangular Silver(I) Hydride Complex and Its Oxophilicity. Chemistry 2019; 25:11269-11284. [PMID: 31188502 DOI: 10.1002/chem.201901981] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/02/2019] [Revised: 06/08/2019] [Indexed: 12/28/2022]
Abstract
The photoexcitation of a triangular silver(I) hydride complex, [Ag3 (μ3 -H)(μ2 -dcpm)3 ](PF6 )2 ([P](PF6 )2 , dcpm=bis(dicyclohexylphosphino)methane), designed with "UV-silent" bis-phosphine ligands, provokes hydride-to-Ag3 single and double electron transfer. The nature of the electronic transitions has been authenticated by absorption and photodissociation spectroscopy in parallel with high-level quantum-chemical computations utilizing the GW method and Bethe-Salpeter equation (GW-BSE). Specific photofragments of mass-selected [P]2+ ions testify to charge transfer and competing pathways resulting from the unique [Ag3 (μ3 -H)]2+ scaffold. This structural motif of [P](PF6 )2 has been unequivocally verified by 1 H NMR spectroscopy in concert with DFT and X-ray diffraction structural analysis, which revealed short equilateral Ag-Ag distances (dAgAg =3.08 Å) within the range of argentophilic interactions. The reduced radical cation [P]. + exhibits strong oxophilicity, forming [P+O2 ].+ ,which is a model intermediate for silver oxidation catalysis.
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Affiliation(s)
- Sebastian V Kruppa
- Department of Chemistry, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 52, 67663, Kaiserslautern, Germany
| | - Cedric Groß
- Department of Chemistry, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 52, 67663, Kaiserslautern, Germany
| | - Xin Gui
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Fritz-Haber-Weg 2, 76131, Karlsruhe, Germany
| | - Florian Bäppler
- Department of Physics, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 46, 67663, Kaiserslautern, Germany
| | - Björn Kwasigroch
- Department of Chemistry, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 52, 67663, Kaiserslautern, Germany
| | - Yu Sun
- Department of Chemistry, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 52, 67663, Kaiserslautern, Germany
| | - Rolf Diller
- Department of Physics, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 46, 67663, Kaiserslautern, Germany
| | - Wim Klopper
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Fritz-Haber-Weg 2, 76131, Karlsruhe, Germany
| | - Gereon Niedner-Schatteburg
- Department of Chemistry, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 52, 67663, Kaiserslautern, Germany.,Research Center OPTIMAS, Erwin-Schrödinger Str. 46, 67663, Kaiserslautern, Germany
| | - Christoph Riehn
- Department of Chemistry, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 52, 67663, Kaiserslautern, Germany.,Research Center OPTIMAS, Erwin-Schrödinger Str. 46, 67663, Kaiserslautern, Germany
| | - Werner R Thiel
- Department of Chemistry, Technische Universität Kaiserslautern (TUK), Erwin-Schrödinger. Str. 52, 67663, Kaiserslautern, Germany
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64
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Koval P, Ljungberg MP, Müller M, Sánchez-Portal D. Toward Efficient GW Calculations Using Numerical Atomic Orbitals: Benchmarking and Application to Molecular Dynamics Simulations. J Chem Theory Comput 2019; 15:4564-4580. [PMID: 31318555 DOI: 10.1021/acs.jctc.9b00436] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The use of atomic orbitals in Hedin's GW approximation provides, in principle, an inexpensive alternative to plane-wave basis sets, especially when modeling large molecules. However, benchmarking of the algorithms and basis sets is essential for a careful balance between cost and accuracy. In this paper, we present an implementation of the GW approximation using numerical atomic orbitals and a pseudopotential treatment of core electrons. The combination of a contour deformation technique with a one-shot extraction of quasiparticle energies provides an efficient scheme for many applications. The performance of the implementation with respect to the basis set convergence and the effect of the use of pseudopotentials has been tested for the 117 closed-shell molecules from the G2/97 test set and 24 larger acceptor molecules from another recently proposed test set. Moreover, to demonstrate the potential of our method, we compute the thermally averaged GW density of states of a large photochromic compound by sampling ab initio molecular dynamics trajectories at different temperatures. The computed thermal line widths indicate approximately twice as large electron-phonon couplings with GW than with standard DFT-GGA calculations. This is further confirmed using frozen-phonon calculations.
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Affiliation(s)
- Peter Koval
- Donostia International Physics Center , Paseo Manuel de Lardizabal 4 , 20018 Donostia-San Sebastián , Spain
| | - Mathias Per Ljungberg
- Donostia International Physics Center , Paseo Manuel de Lardizabal 4 , 20018 Donostia-San Sebastián , Spain
| | - Moritz Müller
- Donostia International Physics Center , Paseo Manuel de Lardizabal 4 , 20018 Donostia-San Sebastián , Spain
| | - Daniel Sánchez-Portal
- Donostia International Physics Center , Paseo Manuel de Lardizabal 4 , 20018 Donostia-San Sebastián , Spain.,Centro de Física de Materiales , Centro Mixto CSIC-UPV/EHU , Paseo Manuel de Lardizabal 5 , 20018 Donostia-San Sebastián , Spain
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65
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Holzer C, Klopper W. Ionized, electron-attached, and excited states of molecular systems with spin–orbit coupling: Two-component GW and Bethe–Salpeter implementations. J Chem Phys 2019; 150:204116. [DOI: 10.1063/1.5094244] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
Affiliation(s)
- Christof Holzer
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P. O. Box 6980, D-76049 Karlsruhe, Germany
| | - Wim Klopper
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P. O. Box 6980, D-76049 Karlsruhe, Germany
- Centre for Advanced Study (CAS) at The Norwegian Academy of Science and Letters, Drammensveien 78, N-0271 Oslo, Norway
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66
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Holzer C, Gui X, Harding ME, Kresse G, Helgaker T, Klopper W. Bethe–Salpeter correlation energies of atoms and molecules. J Chem Phys 2018; 149:144106. [DOI: 10.1063/1.5047030] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Christof Holzer
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box
6980, D-76049 Karlsruhe, Germany
| | - Xin Gui
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box
6980, D-76049 Karlsruhe, Germany
| | - Michael E. Harding
- Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), KIT Campus North, P.O. Box
3640, D-76021 Karlsruhe, Germany
| | - Georg Kresse
- University of Vienna, Faculty of Physics and Center for Computational Materials Science, Sensengasse
8/12, A-1090 Vienna, Austria
| | - Trygve Helgaker
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O.
Box 1033, N-0315 Oslo, Norway
- Centre for Advanced Study (CAS) at The Norwegian Academy of Science and Letters, Drammensveien 78,
N-0271 Oslo, Norway
| | - Wim Klopper
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box
6980, D-76049 Karlsruhe, Germany
- Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), KIT Campus North, P.O. Box
3640, D-76021 Karlsruhe, Germany
- Centre for Advanced Study (CAS) at The Norwegian Academy of Science and Letters, Drammensveien 78,
N-0271 Oslo, Norway
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67
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Ziaei V, Bredow T. Screening mixing GW/Bethe-Salpeter approach for triplet states of organic molecules. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:395501. [PMID: 30124435 DOI: 10.1088/1361-648x/aadb75] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We recently proposed a screening mixing many-body ansatz (Ziaei and Bredow 2017 Phys. Rev. B 96 195115) to decrease the typical overestimation of the Hartree-Fock based GW/Bethe-Salpeter equation (BSE) singlet-singlet excitation energies in molecular systems. Now we have evaluated the accuracy of the proposed scheme for triplet states of a set of 20 organic molecules known as the Thiel set. We show that by mixing different screenings into GW and BSE calculated within random phase approximation (in order to ensure best gap and an optimal exciton binding energy), the total mean absolute error of 0.59 eV in the standard Hartree-Fock based eigenvalue GW/BSE approach is reduced to 0.26 eV for 63 triplet states. We further demonstrate that the quasi-particle self-consistent GW/BSE approach in which orbitals and energies are updated in the Green's function and the dynamically screened interaction mostly and considerably underestimates the excitation energies as shown for a few molecules.
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Affiliation(s)
- Vafa Ziaei
- Mulliken Center for Theoretical Chemistry, University of Bonn, 53115 Bonn, Germany
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68
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Holzer C, Klopper W. Communication: A hybrid Bethe–Salpeter/time-dependent density-functional-theory approach for excitation energies. J Chem Phys 2018; 149:101101. [DOI: 10.1063/1.5051028] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Christof Holzer
- Karlsruhe Institute of Technology (KIT), Institute of Physical Chemistry, Theoretical Chemistry Group, KIT Campus South, P.O. Box 6980, D-76049 Karlsruhe, Germany
| | - Wim Klopper
- Karlsruhe Institute of Technology (KIT), Institute of Physical Chemistry, Theoretical Chemistry Group, KIT Campus South, P.O. Box 6980, D-76049 Karlsruhe, Germany
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69
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Véril M, Romaniello P, Berger JA, Loos PF. Unphysical Discontinuities in GW Methods. J Chem Theory Comput 2018; 14:5220-5228. [DOI: 10.1021/acs.jctc.8b00745] [Citation(s) in RCA: 26] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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70
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Golze D, Wilhelm J, van Setten MJ, Rinke P. Core-Level Binding Energies from GW: An Efficient Full-Frequency Approach within a Localized Basis. J Chem Theory Comput 2018; 14:4856-4869. [DOI: 10.1021/acs.jctc.8b00458] [Citation(s) in RCA: 64] [Impact Index Per Article: 10.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dorothea Golze
- Department of Applied Physics, Aalto University, Otakaari 1, FI-02150 Espoo, Finland
- Department of Electrical Engineering and Automation, Aalto University, PO Box 13500, 00076 Aalto, Finland
| | - Jan Wilhelm
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland
| | - Michiel J. van Setten
- Nanoscopic Physics, Institute of Condensed Matter and Nanosciences, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
| | - Patrick Rinke
- Department of Applied Physics, Aalto University, Otakaari 1, FI-02150 Espoo, Finland
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71
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Ghosh S, Verma P, Cramer CJ, Gagliardi L, Truhlar DG. Combining Wave Function Methods with Density Functional Theory for Excited States. Chem Rev 2018; 118:7249-7292. [PMID: 30044618 DOI: 10.1021/acs.chemrev.8b00193] [Citation(s) in RCA: 135] [Impact Index Per Article: 22.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
We review state-of-the-art electronic structure methods based both on wave function theory (WFT) and density functional theory (DFT). Strengths and limitations of both the wave function and density functional based approaches are discussed, and modern attempts to combine these two methods are presented. The challenges in modeling excited-state chemistry using both single-reference and multireference methods are described. Topics covered include background, combining density functional theory with single-configuration wave function theory, generalized Kohn-Sham (KS) theory, global hybrids, range-separated hybrids, local hybrids, using KS orbitals in many-body theory (including calculations of the self-energy and the GW approximation), Bethe-Salpeter equation, algorithms to accelerate GW calculations, combining DFT with multiconfigurational WFT, orbital-dependent correlation functionals based on multiconfigurational WFT, building multiconfigurational wave functions from KS configurations, adding correlation functionals to multiconfiguration self-consistent-field (MCSCF) energies, combining DFT with configuration-interaction singles by means of time-dependent DFT, using range separation to combine DFT with MCSCF, embedding multiconfigurational WFT in DFT, and multiconfiguration pair-density functional theory.
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Affiliation(s)
- Soumen Ghosh
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute , University of Minnesota , 207 Pleasant Street SE , Minneapolis , Minnesota 55455-0431 , United States
| | - Pragya Verma
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute , University of Minnesota , 207 Pleasant Street SE , Minneapolis , Minnesota 55455-0431 , United States
| | - Christopher J Cramer
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute , University of Minnesota , 207 Pleasant Street SE , Minneapolis , Minnesota 55455-0431 , United States
| | - Laura Gagliardi
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute , University of Minnesota , 207 Pleasant Street SE , Minneapolis , Minnesota 55455-0431 , United States
| | - Donald G Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute , University of Minnesota , 207 Pleasant Street SE , Minneapolis , Minnesota 55455-0431 , United States
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